223350400 has 288 divisors, whose sum is σ = 694375200. Its totient is φ = 69488640.

The previous prime is 223350397. The next prime is 223350419. The reversal of 223350400 is 4053322.

223350400 = T₂₀₉ + T₂₁₀ + ... + T₁₁₀₄.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3785571 + ... + 3785629.

It is an arithmetic number, because the mean of its divisors is an integer number (2411025).

Almost surely, 2^223350400 is an apocalyptic number.

223350400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347187600).

223350400 is an abundant number, since it is smaller than the sum of its proper divisors (471024800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

223350400 is a wasteful number, since it uses less digits than its factorization.

223350400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 19.

The square root of 223350400 is about 14944.9121777279. The cubic root of 223350400 is about 606.7301520864.

The spelling of 223350400 in words is "two hundred twenty-three million, three hundred fifty thousand, four hundred".